Heat load of the radiation cooled Ti target of the undulator based e+ source Felix Dietrich (DESY,...

Heat load of the radiation cooled Ti target of the undulator based e+ source

Felix Dietrich (DESY, TH-Wildau),Sabine Riemann(DESY), Andriy Ushakov(U-Hamburg), Peter Sievers(CERN) Heat load of the radiation cooled Ti target of the undulator based e+ sourceDaresbury Laboratory, 02.09.15

Felix Dietrich| Heat load of the radiation cooled Ti target of the undulator based e+ source | 02.09.15 |

Outline>Used models

engineering sketch

>General set up of the Simulation

>Results

nominal Lumi

Set up of the SimulationResults

Lumi Upgrade


Average heating


> Summary

Outline


Used models

> Based on a proposal of Dr. Peter Sievers (CERN)

> 2 Models in use

>Different sizes of the Ti Target

> cool areas size is:

cool bodies(Fe - assumed)

inner titan ring (Ti) neglected in the simulation

Ti Target

Cu radiator


>Model 1 target height r=50 mm

>Model 2 target height r=40 mm (bigger Cu radiator, Cooler and inner titan ring to maintain same target Radius)

Models – engineering sketch

Model 1 Model 2


General set up of all simulations

> ANSYS Transient Thermal Simulation

> E=250 GeV

> only a slice of the wheel with an angle of 8.724° is analyzed (corresponding to pulse length)

> Ti is heated with External FLUKA input (created by Dr. Andriy Ushakov)

> Ti Cu heat contact is program controlled

> Every fin and the top of the Ti target radiate

> ~2.8 m2 radiation surface

> The emissivity of all surfaces are assumed 0.7 (errors are taken into account)

> Surface to surface radiation tool is used

> no radiation into environment

> innermost side of all cooling body is set to 22°C(Cooling)

> Auto time stepping on


Setup of the Simulation – nominal Lumi

> the Input file for Model 1 and 2 ismultiplied by 1.71 (DT=150K)

> Simulation time 903s (129 pulses)

> Pulse length 727 µs (nominal Lumi)

> every 7s one pulse hits the same area (simulated spot)

Model 1 (50 mm)

Model 2 (40 mm)


Results – max. temperature – nominal Lumi

>Max temperature at any point at a specific time

Model 1 (target height 50mm) Model 2 (target height 40mm)


Result – Path Model 1 – nominal Lumi

> Temperature in the Target along 6 path

> For Model 1 (target height 50mm)

> Time 895,58s (after 128th pulse short before 129th pulse)

> index r same path but one the side of the target (4.362°)

vertical Temperature distribution horizontal Temperature distribution

Ti

Ti

Cu


Result – Path Model 2 – nominal Lumi






Ti

Ti

Cu


Results – 3D Plot all – nominal Lumi

> Temperature distribution in the whole target after 903s

>Red arrow marks the direction of the beam

Model 1 (Target 50mm) temperature range 413.49 °C – 22°C

Model 2 (Target 40mm)temperature range 306.6 °C – 22°C


Results – 3D Cu radiator – nominal Lumi

> Temperature distribution in the Cu-radiator after 903s


Model 1 (Target 50mm)temperature range 76.38 °C – 41.665°C



Results – 3D Cooler – nominal Lumi

> Temperature distribution in the Cooler after 903s





Setup of the Simulation – Lumi Upgrade

> the Input file for Model 1 and 2 ismultiplied by 1.5 (DT=195K)

> Simulation time 903s (129 Pulses)

> Pulse length 960.8 µs

> every 7s one pulse hits the same area (simulated spot)

Model 1 (50 mm)

Model 2 (40 mm)


Results – max. temperature – Lumi upgrade

>Max Temperature at any point at a specific time


Result – Path Model 1 – Lumi upgrade






Ti

Ti

Cu


Results – Path Model 2 – Lumi upgrade

>Results a long 6 path in the Target showing temperature





Ti

Ti

Cu


Results – 3D Plot all – Lumi upgrade

> Temperature distribution in the Cu body after 903s





Results – 3D Cu radiator – Lumi upgrade

> Temperature distribution in the Cu radiator after 903s



Model 2 (Target 40mm) temperature range 85.358 °C – 44.752°C


Results – Lumi Upgrade 3D Cooler






Set up of the Simulation – Average heating

> Auto time stepping on (boarders are 1s up to 200s)

> Factor for 1 and 2 is 2.2936e-4

> Simulation time 90300s

Model 1 (50 mm)

Model 2 (40 mm)


Result – Average heating – max. temperature in equilibrium

> Black line Model 1 (Target height 50mm)

>Red line Model 2 (Target height 40mm)


Summary

> Simulation shows it is possible to cool the target by radiation

> The max. temperature for Model 1 is 690°C

> The max. temperature for Model 2 is 560°C

> Smaller target means lower temperature shorter heat conduction length

>Design has to be optimized to keep the target temperature below 500°C

> Increase cooling surface (more fins)

> The construction of the components (target, cooler) has to be studied

> The effects of the design on the temperature has to be studied as well as engineering aspects


>Thank your for your attention


Results – Path Model 1 – Average heating



> Time 90300s



Ti

Ti

Cu


Results – Path Model 2 – Average heating



> Time 90300s



Ti

Ti

Cu


> Temperature distribution in the target after 903s

Results – 3D plots– Average heating


Model 2 (Target 40mm)temperature range 570,36 °C – 22°C


> Temperature distribution in the Cu radiator after 903s


Model 1 (Target 50mm)temperature range 270 °C – 241.67°C

Model 2 (Target 40mm) temperature range 281.11 °C – 258.75°C


Heat load of the radiation cooled Ti target of the undulator based e+ source Felix Dietrich (DESY,...

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